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Dmitrij [34]
2 years ago
12

A circle with circumference 8, has an arc with a 288 degree central angle. What is the length of the arc?

Mathematics
2 answers:
stich3 [128]2 years ago
8 0
We know that
the circumference C=2*pi*r
C=8 units

if 360° (full circle) has a length of-----------> 8 units
 288°---------------------------> x
x=288*8/360-------> x=6.4 units

the answer is
6.4 units
ValentinkaMS [17]2 years ago
8 0
<span><u><em>Answer:</em></u>
length of arc = 6.4 units

<u><em>Explanation:</em></u>
The length of the arc can be calculated using the following formula:
length of arc = 2</span>π <span>* radius * </span>\frac{angle}{360}<span>

Taking a look at the equation and comparing it with the given, we would find that:
2</span>π<span>*r is the equation for calculating <u>the circumference.</u>
We are given that the the circumference of the circle is 8 units
theta is the angle subtended by the arc = 288</span>°<span>

<u>Substitute with the givens in the above equation to get the length of the arc as follows:</u>
length of arc = 8 * </span>\frac{288}{360}<span>
length of arc = 6.4 units

Hope this helps :)</span>
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1 year ago
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